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Finding the Fourth Proportional to 18,022.72, 27,043.78 and 7,500

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Solution

The fourth proportional to 18,022.72, 27,043.78 and 7,500 is: 11,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,022.72 : 27,043.78 = 7,500 : x
  2. Step 2: Convert to fraction form
    18,022.72/27,043.78 = 7,500/x
  3. Step 3: Cross multiply
    18,022.72x = 27,043.78 × 7,500
  4. Step 4: Simplify right side
    18,022.72x = 202,828,350
  5. Step 5: Solve for x
    x = 202,828,350/18,022.72
  6. Step 6: Final answer
    x = 11,254.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.